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Finding the Fourth Proportional to 3,789.48, 5,685.00 and 1,598.22

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Solution

The fourth proportional to 3,789.48, 5,685.00 and 1,598.22 is: 2,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.48 : 5,685.00 = 1,598.22 : x
  2. Step 2: Convert to fraction form
    3,789.48/5,685.00 = 1,598.22/x
  3. Step 3: Cross multiply
    3,789.48x = 5,685.00 × 1,598.22
  4. Step 4: Simplify right side
    3,789.48x = 9,085,874.71
  5. Step 5: Solve for x
    x = 9,085,874.71/3,789.48
  6. Step 6: Final answer
    x = 2,397.66

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.